Cannot make plane follow bezier or path
what are you trying to do exactly? First you need to make some corrections: In Edit mode delete the vertex that is far away from your main plane, to do it select the plane with the lasso, then Ctrl i to inverse the selection and catch the lone vertex, then X to delete. Also in Object mode apply the scale of the plane and curve. Now as the plane is a bit shorter than the curve, if you ask a Fit Type > Fit Curve it will duplicate once. You can choose the curve in the Curve modifier. If the plane scales crazy, it's because the curve's vertex radius are very high, so in Edit mode select them and in the 3D View N panel bring them down to 1. And if you want the plane to begin at the beginning of the curve, put the origin of the curve at this point.